Phase shift analysis of PT-symmetric nonhermitian extension of A_{N-1} Calogero model without confining interaction

Abstract

We discuss a many-particle quantum system, which is obtained by adding some nonhermitian but PT (i.e. combined parity and time reversal) invariant interaction to the $A_{N-1}$ rational Calogero model without confining potential. This model gives rise to scattering states with continuous real spectrum. The scattering phase shift is determined through the exchange statistics parameter. We find that, unlike the case of usual Calogero model, the exclusion and exchange statistics parameter differ from each other in the presence of PT invariant interaction.

arXiv commentLatex, 10 pages, no figures

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• Quantum Phase Transition in a Pseudo-hermitian Dicke model
• PT phase transition in a (2+1)-d relativistic system
• Spectral singularity and non-Hermitian PT-symmetric extension of $A_{N-1}$ type Calogero model without confining potential
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• Quasi exactly solvable extension of Calogero model associated with exceptional orthogonal polynomials
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• Entangled Quantum State Discrimination using Pseudo-Hermitian System
• Constructing Exactly Solvable Pseudo-hermitian Many-particle Quantum Systems by Isospectral Deformation
• Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system
• Deconstructing non-Dirac-hermitian supersymmetric quantum systems
• Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions